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Finding the Third Proportional to 328.36 and 712.27

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Solution

The third proportional to 328.36 and 712.27 is: 1,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.36 : 712.27 = 712.27 : x
  2. Step 2: Convert to fraction form
    328.36/712.27 = 712.27/x
  3. Step 3: Cross multiply
    328.36x = 712.27 × 712.27
  4. Step 4: Simplify right side
    328.36x = 507,322.32
  5. Step 5: Solve for x
    x = 507,322.32/328.36
  6. Step 6: Final answer
    x = 1,545.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.